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Finding the Fourth Proportional to 11,391.10, 15,696.39 and 8,402.20

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Solution

The fourth proportional to 11,391.10, 15,696.39 and 8,402.20 is: 11,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.10 : 15,696.39 = 8,402.20 : x
  2. Step 2: Convert to fraction form
    11,391.10/15,696.39 = 8,402.20/x
  3. Step 3: Cross multiply
    11,391.10x = 15,696.39 × 8,402.20
  4. Step 4: Simplify right side
    11,391.10x = 131,884,208.06
  5. Step 5: Solve for x
    x = 131,884,208.06/11,391.10
  6. Step 6: Final answer
    x = 11,577.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.